A strong invariance principle for associated random fields
| dc.creator | Balan, Raluca M. | |
| dc.date | 2005-03-29 | |
| dc.date.accessioned | 2026-07-07T05:18:36Z | |
| dc.date.available | 2026-07-07T05:18:36Z | |
| dc.description | In this paper we generalize Yu's [Ann. Probab. 24 (1996) 2079-2097] strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the covariance coefficient u(n) decays exponentially as n\to \infty. The main tools that we use are the following: the Berkes and Morrow [Z. Wahrsch. Verw. Gebiete 57 (1981) 15-37] multi-parameter blocking technique, the Csorgo and Revesz [Z. Wahrsch. Verw. Gebiete 31 (1975) 255-260] quantile transform method and the Bulinski [Theory Probab. Appl. 40 (1995) 136-144] rate of convergence in the CLT. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117904000001071 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503661 | |
| dc.identifier | http://arxiv.org/abs/math/0503661 | |
| dc.identifier | Annals of Probability 2005, Vol. 33, No. 2, 823-840 | |
| dc.identifier | doi:10.1214/009117904000001071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74716 | |
| dc.subject | Probability | |
| dc.subject | 60F17, 60G60 (Primary) 60K35. (Secondary) | |
| dc.title | A strong invariance principle for associated random fields | |
| dc.type | text |